Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Chapter Review - Review Exercises - Page 458: 39

Answer

$y=5cos(\frac{1}{4}x)$

Work Step by Step

1. The given graph resembles to $y=cos(x)$, with a general form $y=A\ cos(\omega x)$, 2. We can find the amplitude$A=5$, period$=8\pi$, phase shift$=0$. 3. We have $\frac{2\pi}{\omega}=8\pi$, thus $\omega=\frac{1}{4}$ 4. Thus we have $y=5cos(\frac{1}{4}x)$
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